On the Reducibility Points beyond the Ends of Complementary Series of p-adic General Linear Groups
Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 147-183
Voir la notice de l'article provenant de la source Heldermann Verlag
We consider the reducibility points beyond the ends of complementary series of general linear groups over a p-adic field, which start with Speh representations. We describe explicitly the composition series of the representations at these reducibility points. They are multiplicity one representations, and they can be of arbitrary length. We give Langlands parameters of all the irreducible subquotients and determine the lattice of subrepresentations.
Classification :
22E50
Mots-clés : Non-archimedean local fields, general linear groups, Speh representations, parabolically induced representations, reducibility, composition series, unitarizability
Mots-clés : Non-archimedean local fields, general linear groups, Speh representations, parabolically induced representations, reducibility, composition series, unitarizability
Affiliations des auteurs :
Marko Tadic 1
Marko Tadic. On the Reducibility Points beyond the Ends of Complementary Series of p-adic General Linear Groups. Journal of Lie Theory, Tome 25 (2015) no. 1, pp. 147-183. http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a8/
@article{JOLT_2015_25_1_a8,
author = {Marko Tadic},
title = {On the {Reducibility} {Points} beyond the {Ends} of {Complementary} {Series} of p-adic {General} {Linear} {Groups}},
journal = {Journal of Lie Theory},
pages = {147--183},
year = {2015},
volume = {25},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2015_25_1_a8/}
}